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Finding the Third Proportional to 40,835 and 58,516

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Solution

The third proportional to 40,835 and 58,516 is: 83,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,835 : 58,516 = 58,516 : x
  2. Step 2: Convert to fraction form
    40,835/58,516 = 58,516/x
  3. Step 3: Cross multiply
    40,835x = 58,516 × 58,516
  4. Step 4: Simplify right side
    40,835x = 3,424,122,256
  5. Step 5: Solve for x
    x = 3,424,122,256/40,835
  6. Step 6: Final answer
    x = 83,852.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.